Please help me with this :)))
1 answer:
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Place Brunhilda at (0,0) which is the location of the intersection of the x and y axis. I'm going to label this point A.
Move 3 units to the right to arrive at point B = (3,0). Then move 2 units up to arrive at point C = (3,2). The next step is to walk 5 units to the left and you get to point D = (-2,2). Finally, we move 2 units south to get to the point E = (-2,0)
When we talk about displacement, we only care about starting and ending points. The stuff in between doesn't matter. We start at (0,0) and end at (-2,0). So the displacement is 2 units to the right or "2 meters west"
Answer: Choice C) 2 m west
Check out the attached image to see a visual of what is going on.
Edit: I mistakenly thought she started at point A. instead she starts at point B. So the answer is actually 5 meters west.
Answer:
Step-by-step explanation:
We have the inequality:
First, we can factor out a 5 from our absolute value. This yields:
Simplify:
Add 14 to both sides:
Divide both sides by 2:
Definition of Absolute Value:
Solve each case individually:
Case 1:
Subtract 2 from both sides:
Case 2:
Divide both sides by -1. Flip the sign:
Subtract 2 from both sides:
So, our answers are:
Since our inequality is a <em>greater than</em>, we will have an "or" inequality.
So, our answer is all values left to the first solution and all values to the right of the second solution:
And we're done!
Let Q(t) = the mass (mg) remaining after t hours.
We are told that Q diminishes by 3% every hour.
When t = 0, Q = 4 mg
When t = 1, Q = 4*0.97 mg
When t = 2, Q = 4*(0.97)² mg
By induction,
Q'(t) = 0.97Q
Therefore the rate of decrease is 3% per hour.
The person receives an additional dosage when Q falls to 0.50 mg. This happens when
After the second injection, the mass is now 4.5 mg. Therefore
When the mass again reaches 0.50 mg, then
Answers:
(a)
(b) 3% per hour
(c) 68.3 hours
(d) 72.1 hours
We are told that Q diminishes by 3% every hour.
When t = 0, Q = 4 mg
When t = 1, Q = 4*0.97 mg
When t = 2, Q = 4*(0.97)² mg
By induction,
Q'(t) = 0.97Q
Therefore the rate of decrease is 3% per hour.
The person receives an additional dosage when Q falls to 0.50 mg. This happens when
After the second injection, the mass is now 4.5 mg. Therefore
When the mass again reaches 0.50 mg, then
Answers:
(a)
(b) 3% per hour
(c) 68.3 hours
(d) 72.1 hours
Answer:
.
Step-by-step explanation:
Given:
Kerry and her brother and noticed there is 3/4 of a pint of ice cream in the freezer.
After they eat some ice cream there is 1/3 of a pint left.
Question asked:
How much ice cream did Kerry and her brother eat ?
Solution:
Total ice cream in the freezer =
Ice cream left =
Thus, Kerry and her brother ate .